What is the Least Common Multiple of 95070 and 95075?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 95070 and 95075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95070 and 95075, than apply into the LCM equation.

GCF(95070,95075) = 5
LCM(95070,95075) = ( 95070 × 95075) / 5
LCM(95070,95075) = 9038780250 / 5
LCM(95070,95075) = 1807756050

Least Common Multiple (LCM) of 95070 and 95075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95070 and 95075. First we will calculate the prime factors of 95070 and 95075.

Prime Factorization of 95070

Prime Factorization of 95075

Now multiplying the highest exponent prime factors to calculate the LCM of 95070 and 95075.

LCM(95070,95075) = 2¹ × 3¹ × 5² × 3169¹ × 3803¹
LCM(95070,95075) = 1807756050